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Finding the Fourth Proportional to 863.12, 1,294.76 and 400.92

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Solution

The fourth proportional to 863.12, 1,294.76 and 400.92 is: 601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.12 : 1,294.76 = 400.92 : x
  2. Step 2: Convert to fraction form
    863.12/1,294.76 = 400.92/x
  3. Step 3: Cross multiply
    863.12x = 1,294.76 × 400.92
  4. Step 4: Simplify right side
    863.12x = 519,095.18
  5. Step 5: Solve for x
    x = 519,095.18/863.12
  6. Step 6: Final answer
    x = 601.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.